Sung-Soo Byun

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math.PR2026

Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices

Sung-Soo Byun, Jonas Jalowy, Yong-Woo Lee +1

We study the statistics of the number of real eigenvalues in the elliptic deformation of the real Ginibre ensemble. As the matrix dimension grows, the law of large numbers and the…

math.PR2025

The probability of almost all eigenvalues being real for the elliptic real Ginibre ensemble

Gernot Akemann, Sung-Soo Byun, Yong-Woo Lee

We investigate real eigenvalues of real elliptic Ginibre matrices of size $n$ , indexed by the parameter of asymmetry $I ¨ \in [0, 1]$ . In both the strongly and weakly non-Hermitian re…

math.PR2025

Real Eigenvalues of Asymmetric Wishart Matrices: Expected Number, Global Density and Integrable Structure

Sung-Soo Byun, Kohei Noda

We investigate the real eigenvalues of asymmetric Wishart matrices of size $N$ , indexed by the rectangular parameter $I^½ \in N$ and the non-Hermiticity parameter $Ï\in [0,…